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Finding the Fourth Proportional to 688.89, 950.90 and 394.46

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Solution

The fourth proportional to 688.89, 950.90 and 394.46 is: 544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.89 : 950.90 = 394.46 : x
  2. Step 2: Convert to fraction form
    688.89/950.90 = 394.46/x
  3. Step 3: Cross multiply
    688.89x = 950.90 × 394.46
  4. Step 4: Simplify right side
    688.89x = 375,092.01
  5. Step 5: Solve for x
    x = 375,092.01/688.89
  6. Step 6: Final answer
    x = 544.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.